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| 1 | +/* phi^2 + phi^-2 = 3 | TRINITY */ |
| 2 | + |
| 3 | +use wasm_bindgen::prelude::*; |
| 4 | + |
| 5 | +// ============================================================================ |
| 6 | +// Helper Functions (implementing GF logic directly) |
| 7 | +// ============================================================================ |
| 8 | + |
| 9 | +fn gf16_encode(value: f64) -> u16 { |
| 10 | + if value == 0.0 { |
| 11 | + return if value.is_sign_negative() { 0x8000u16 } else { 0u16 }; |
| 12 | + } |
| 13 | + |
| 14 | + let sign = if value < 0.0 { 0x8000u16 } else { 0u16 }; |
| 15 | + let abs_value = if value < 0.0 { -value } else { value }; |
| 16 | + |
| 17 | + // Get IEEE 754 binary representation |
| 18 | + let bits = abs_value.to_bits(); |
| 19 | + let ieee_exp = ((bits >> 52) & 0x7FF) as i32 - 1023; |
| 20 | + let ieee_mant = bits & 0x000FFFFFFFFFFFFF; |
| 21 | + |
| 22 | + let mut gf16_exp = ieee_exp + 31; // GF16_BIAS = 31 |
| 23 | + if gf16_exp < 0 { gf16_exp = 0; } |
| 24 | + if gf16_exp > 62 { gf16_exp = 62; } |
| 25 | + |
| 26 | + // Convert from 52-bit IEEE mantissa to 9-bit GF16 mantissa |
| 27 | + let mut gf16_mant = (ieee_mant >> 43) as u16; |
| 28 | + |
| 29 | + // Round to nearest |
| 30 | + let discarded = ieee_mant & 0x7FFFFFFFFFF; |
| 31 | + if discarded & 0x4000000000 != 0 { |
| 32 | + gf16_mant += 1; |
| 33 | + if gf16_mant > 511 { |
| 34 | + gf16_mant = 0; |
| 35 | + if gf16_exp < 62 { gf16_exp += 1; } |
| 36 | + } |
| 37 | + } |
| 38 | + |
| 39 | + sign | ((gf16_exp as u16) << 9) | gf16_mant |
| 40 | +} |
| 41 | + |
| 42 | +fn gf16_decode(value: u16) -> f64 { |
| 43 | + if value == 0x0000 || value == 0x8000 { |
| 44 | + return if value == 0x8000 { -0.0f64 } else { 0.0f64 }; |
| 45 | + } |
| 46 | + |
| 47 | + let sign_f = if (value & 0x8000) != 0 { -1.0f64 } else { 1.0f64 }; |
| 48 | + let exp = ((value >> 9) & 0x3F) as i32; |
| 49 | + let mant = (value & 0x01FF) as f64; |
| 50 | + |
| 51 | + if exp == 63 { |
| 52 | + // Special values |
| 53 | + return if mant == 0.0 { |
| 54 | + if sign_f < 0.0 { f64::NEG_INFINITY } else { f64::INFINITY } |
| 55 | + } else { |
| 56 | + f64::NAN |
| 57 | + }; |
| 58 | + } |
| 59 | + |
| 60 | + let mant_norm = 1.0f64 + mant / 512.0f64; |
| 61 | + let exp_adj = exp - 31; |
| 62 | + sign_f * mant_norm * 2.0_f64.powi(exp_adj) |
| 63 | +} |
| 64 | + |
| 65 | +fn gf16_is_zero(value: u16) -> bool { |
| 66 | + value == 0x0000 || value == 0x8000 |
| 67 | +} |
| 68 | + |
| 69 | +fn gf16_is_inf(value: u16) -> bool { |
| 70 | + let exp = ((value >> 9) & 0x3F) as i32; |
| 71 | + let mant = (value & 0x01FF) as i32; |
| 72 | + exp == 63 && mant == 0 |
| 73 | +} |
| 74 | + |
| 75 | +fn gf16_is_nan(value: u16) -> bool { |
| 76 | + let exp = ((value >> 9) & 0x3F) as i32; |
| 77 | + let mant = (value & 0x01FF) as i32; |
| 78 | + exp == 63 && mant != 0 |
| 79 | +} |
| 80 | + |
| 81 | +fn gf32_encode(value: f64) -> u32 { |
| 82 | + if value == 0.0 { |
| 83 | + return if value.is_sign_negative() { 0x80000000u32 } else { 0u32 }; |
| 84 | + } |
| 85 | + |
| 86 | + let sign = if value < 0.0 { 0x80000000u32 } else { 0u32 }; |
| 87 | + let abs_value = if value < 0.0 { -value } else { value }; |
| 88 | + |
| 89 | + let bits = abs_value.to_bits(); |
| 90 | + let ieee_exp = ((bits >> 52) & 0x7FF) as i32 - 1023; |
| 91 | + let ieee_mant = bits & 0x000FFFFFFFFFFFFF; |
| 92 | + |
| 93 | + let mut gf32_exp = ieee_exp + 2047; // GF32_BIAS = 2047 |
| 94 | + if gf32_exp < 0 { gf32_exp = 0; } |
| 95 | + if gf32_exp > 4094 { gf32_exp = 4094; } |
| 96 | + |
| 97 | + // Convert from 52-bit IEEE mantissa to 19-bit GF32 mantissa |
| 98 | + let gf32_mant = (ieee_mant >> 33) & 0x7FFFF; |
| 99 | + |
| 100 | + (((sign as u64) | ((gf32_exp as u64) << 19) | (gf32_mant as u64)) & 0xFFFFFFFF) as u32 |
| 101 | +} |
| 102 | + |
| 103 | +fn gf32_decode(value: u32) -> f64 { |
| 104 | + if value == 0 { |
| 105 | + return 0.0f64; |
| 106 | + } |
| 107 | + |
| 108 | + let sign_f = if (value & 0x80000000) != 0 { -1.0f64 } else { 1.0f64 }; |
| 109 | + let exp = ((value >> 19) & 0xFFF) as i32; |
| 110 | + let mant = (value & 0x7FFFF) as f64; |
| 111 | + |
| 112 | + if exp == 4095 { |
| 113 | + return if mant == 0.0 { |
| 114 | + if sign_f < 0.0 { f64::NEG_INFINITY } else { f64::INFINITY } |
| 115 | + } else { |
| 116 | + f64::NAN |
| 117 | + }; |
| 118 | + } |
| 119 | + |
| 120 | + let mant_norm = 1.0f64 + mant / 524288.0f64; |
| 121 | + let exp_adj = exp - 2047; |
| 122 | + sign_f * mant_norm * 2.0_f64.powi(exp_adj) |
| 123 | +} |
| 124 | + |
| 125 | +fn gf32_is_zero(value: u32) -> bool { |
| 126 | + value == 0 |
| 127 | +} |
| 128 | + |
| 129 | +fn gf32_is_inf(value: u32) -> bool { |
| 130 | + let exp = ((value >> 19) & 0xFFF) as i32; |
| 131 | + exp == 4095 |
| 132 | +} |
| 133 | + |
| 134 | +fn gf32_is_nan(value: u32) -> bool { |
| 135 | + let exp = ((value >> 19) & 0xFFF) as i32; |
| 136 | + let mant = (value & 0x7FFFF) as i32; |
| 137 | + exp == 4095 && mant != 0 |
| 138 | +} |
| 139 | + |
| 140 | +// ============================================================================ |
| 141 | +// JavaScript/Wasm Classes |
| 142 | +// ============================================================================ |
| 143 | + |
| 144 | +/// GF16: 16-bit phi-structured floating-point format |
| 145 | +#[wasm_bindgen] |
| 146 | +pub struct GF16 { |
| 147 | + value: u16, |
| 148 | +} |
| 149 | + |
| 150 | +#[wasm_bindgen] |
| 151 | +impl GF16 { |
| 152 | + #[wasm_bindgen(constructor)] |
| 153 | + pub fn new(value: f64) -> GF16 { |
| 154 | + GF16 { value: gf16_encode(value) } |
| 155 | + } |
| 156 | + |
| 157 | + pub fn to_float(&self) -> f64 { |
| 158 | + gf16_decode(self.value) |
| 159 | + } |
| 160 | + |
| 161 | + pub fn bits(&self) -> u16 { |
| 162 | + self.value |
| 163 | + } |
| 164 | + |
| 165 | + pub fn is_zero(&self) -> bool { |
| 166 | + gf16_is_zero(self.value) |
| 167 | + } |
| 168 | + |
| 169 | + pub fn is_inf(&self) -> bool { |
| 170 | + gf16_is_inf(self.value) |
| 171 | + } |
| 172 | + |
| 173 | + pub fn is_nan(&self) -> bool { |
| 174 | + gf16_is_nan(self.value) |
| 175 | + } |
| 176 | +} |
| 177 | + |
| 178 | +/// GF32: 32-bit phi-structured floating-point format |
| 179 | +#[wasm_bindgen] |
| 180 | +pub struct GF32 { |
| 181 | + value: u32, |
| 182 | +} |
| 183 | + |
| 184 | +#[wasm_bindgen] |
| 185 | +impl GF32 { |
| 186 | + #[wasm_bindgen(constructor)] |
| 187 | + pub fn new(value: f64) -> GF32 { |
| 188 | + GF32 { value: gf32_encode(value) } |
| 189 | + } |
| 190 | + |
| 191 | + pub fn to_float(&self) -> f64 { |
| 192 | + gf32_decode(self.value) |
| 193 | + } |
| 194 | + |
| 195 | + pub fn bits(&self) -> u32 { |
| 196 | + self.value |
| 197 | + } |
| 198 | + |
| 199 | + pub fn is_zero(&self) -> bool { |
| 200 | + gf32_is_zero(self.value) |
| 201 | + } |
| 202 | + |
| 203 | + pub fn is_inf(&self) -> bool { |
| 204 | + gf32_is_inf(self.value) |
| 205 | + } |
| 206 | + |
| 207 | + pub fn is_nan(&self) -> bool { |
| 208 | + gf32_is_nan(self.value) |
| 209 | + } |
| 210 | +} |
| 211 | + |
| 212 | +// ============================================================================ |
| 213 | +// Utility Functions |
| 214 | +// ============================================================================ |
| 215 | + |
| 216 | +/// Get the constant phi (golden ratio) as GF16 |
| 217 | +#[wasm_bindgen] |
| 218 | +pub fn phi_gf16() -> u16 { |
| 219 | + gf16_encode(1.618033988749895) |
| 220 | +} |
| 221 | + |
| 222 | +/// Get the constant phi (golden ratio) as GF32 |
| 223 | +#[wasm_bindgen] |
| 224 | +pub fn phi_gf32() -> u32 { |
| 225 | + gf32_encode(1.618033988749895) |
| 226 | +} |
| 227 | + |
| 228 | +/// Check if the value represents positive zero |
| 229 | +#[wasm_bindgen] |
| 230 | +pub fn is_positive_zero(value: u16) -> bool { |
| 231 | + value == 0x0000 |
| 232 | +} |
| 233 | + |
| 234 | +/// Check if the value represents negative zero |
| 235 | +#[wasm_bindgen] |
| 236 | +pub fn is_negative_zero(value: u16) -> bool { |
| 237 | + value == 0x8000 |
| 238 | +} |
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